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Aligning Metabolic Pathways Exploiting Binary Relation of Reactions. [PDF]
PLoS ONE, 2016 Metabolic pathway alignment has been widely used to find one-to-one and/or one-to-many reaction mappings to identify the alternative pathways that have similar functions through different sets of reactions, which has important applications in ...
Yiran Huang +3 more
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Decision Analysis via Granulation Based on General Binary Relation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Decision theory considers how best to make decisions in the light of uncertainty about data. There are several methodologies that may be used to determine the best decision.
M. M. E. Abd El-Monsef, N. M. Kilany
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Fixed point results via altering distance functions in relational fuzzy metric spaces with application [PDF]
Mathematica Moravica, 2021 Some fixed point theorems are developed in fuzzy metric spaces using an altering distance function under binary relationship. We ensure the existence and uniqueness of the solution to ordinary differential equation using our results.
Bartwal Ayush, Dimri R. C., Rawat Shivam
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$\mathcal F$-hypercyclic and disjoint $\mathcal F$-hypercyclic properties of binary relations over topological spaces [PDF]
Mathematica Bohemica, 2020 We examine various types of $\mathcal F$-hypercyclic ($\mathcal F$-topologically transitive) and disjoint $\mathcal F$-hypercyclic (disjoint $\mathcal F$-topologically transitive) properties of binary relations over topological spaces.
Marko Kostić
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Perov-fixed point theorems on a metric space equipped with ordered theoretic relation
AIMS Mathematics, 2022 In this paper, we introduce a few new generalizations of the classical Perov-fixed point theorem for single-valued and multi-valued mappings in a complete generalized metric space endowed with a binary relation.
Yahya Almalki +4 more
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The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps
Mathematics, 2023 The purpose of this study is to present fixed-point results for Suzuki-type multi-valued maps using relation theory. We examine a range of implications that arise from our primary discovery.
Isaac Karabo Letlhage +3 more
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Axioms, 2022 In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces. Several illustrative
Samera M. Saleh +3 more
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Axioms, 2021 In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation.
Asik Hossain +2 more
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Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”
Axioms, 2023 Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of the vector space Rm, many researchers have considered various contractive conditions in this type of space.
Slobodanka Mitrović +3 more
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Binary and ternary relations [PDF]
Mathematica Bohemica, 1992 Let \(G\) be a set, \(\rho\) a binary relation on \(G\). Further, let \(r\) be a binary relation on the set \(\rho\) with the property \(\alpha=(x,y)\in\rho\), \(\beta=(z,u)\in\rho\), \((\alpha,\beta)\in r\Rightarrow y=z\). Then \(r\) is called a binding relation on \(\rho\), and \((G,\rho,r)\) is called a double binary structure.
Vítězslav Novák, Miroslav Novotný
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